Generalizations of integral inequalities similar to Hardy inequality on time scales
Volume 32, Issue 3, pp 241--256
http://dx.doi.org/10.22436/jmcs.032.03.05
Publication Date: September 29, 2023
Submission Date: January 01, 2023
Revision Date: May 13, 2023
Accteptance Date: August 02, 2023
Authors
W. M. Hasan
- Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.
H. M. El-Owaidy
- Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.
A. A. El-Deeb
- Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.
H. M. Rezk
- Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.
Abstract
In this article, we prove some new inequalities similar to Hardy's inequality on time scales. The results as special cases contain integral inequalities similar to Hardy's inequality and contain discrete inequalities. Our main results are established by using chain rule, Holder inequality, and some properties of multiple integrals on time scales. Furthermore, some applications and examples are given to illustrate the investigated results.
Share and Cite
ISRP Style
W. M. Hasan, H. M. El-Owaidy, A. A. El-Deeb, H. M. Rezk, Generalizations of integral inequalities similar to Hardy inequality on time scales, Journal of Mathematics and Computer Science, 32 (2024), no. 3, 241--256
AMA Style
Hasan W. M., El-Owaidy H. M., El-Deeb A. A., Rezk H. M., Generalizations of integral inequalities similar to Hardy inequality on time scales. J Math Comput SCI-JM. (2024); 32(3):241--256
Chicago/Turabian Style
Hasan, W. M., El-Owaidy, H. M., El-Deeb, A. A., Rezk, H. M.. "Generalizations of integral inequalities similar to Hardy inequality on time scales." Journal of Mathematics and Computer Science, 32, no. 3 (2024): 241--256
Keywords
- Time scales
- dynamic inequality
- Hardy's inequality
MSC
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